I don't feel like I fully understand how rock mounds work to harvest water from the atmosphere, but I've been intrigued by the idea whenever it has presented itself. As it would be quite beneficial if it happened regularly here I've considered the potential of harvesting moisture with rock piles along these lines: I assume the phenomenon would be a consequence of the fact that warmer air can hold more water vapor than cooler air. A readily observable demonstration of this process is condensation onto the surface of the container of a cold beverage outdoors on sufficiently (depending on the relative humidity) warm days. The air in or nearly in contact with the colder-than-air-temperature surface cools to the dew point, becoming saturated. If it then cools further, the water vapor changes from a gas to a liquid and condenses onto the surface. If someone has placed that beverage container on the ground in their garden, it would operate to the benefit of any nearby plants. If the presence of a rock pile causes a drop in
local air temperature, it could trigger condensation of some atmospheric water vapor that wouldn't have otherwise occurred.
Days are sunny in the high desert and a rock will collect a bunch of
solar energy during the day and release it back into the atmosphere after sunset. Air temperatures drop quickly, especially in spring and fall. Under some conditions, as a rock dumps its heat, it might cool sufficiently relative the the nearby air to begin acting somewhat like that cool beverage. That's the mechanism that I can envision. There may be others. I'd be interested in any thoughts about them. Some items to consider--mist and fog. Wikipedia says fog is condensed water vapor that is held in suspension. It can occur at temperatures up to 4 degrees above the dew point. It commonly occurs near bodies of water expanses of saturated soil (wetlands). So it would seem our cooler-than-air-temperature rock will have more moisture to work with in foggy weather--the relative humidity is near 100%--and the water vapor in the air is changing from a gas to a liquid. Mist can be fine precipitation--it is defined based on visibility distance--or it can be condensation heavy
enough that gravity pulls it out of suspension. In either scenario the water vapor is not just condensing onto our preferred surface it is falling out of the atmosphere. Sublimation is fascinating--water goes from frozen to gaseous, without passing through liquid. I
did some research looked at Wikipedia on dew point, fog... but will leave it at wondering for now how much of the local snow melt is lost to sublimation. Rocks do seem to quickly pop out of the snow, at least on their sunny side. As an aside, frost is the process of water passing from gaseous to solid states, skipping liquid in the opposite direction from sublimation.
I'll go ahead and share my thoughts on how often the conditions that would set up the mechanism I envision occur in the high desert here. Not often. Rare, even. I look at the NWS forecasts twice daily and have for about four years. I often click through to their hourly forecast to get not just temps, wind, and the occasional shot at precipitation, but relative humidity and dew point. (I also follow the maximum and minimum temps at two elevations on the property where i live and so the accuracy of NWS temperature predictions) Dew points at night are almost always at least several degrees above air temperature. We have regular frosts, almost exclusively on the days during and after a front bringing in some moisture. We have dew several time a year. I've only seen fog after significant hail, which regularly happens during the stronger monsoons, but rarely other years.
Rock pile water harvesting would be most welcome in June--the hottest driest month. The last three Junes have been brutally hot here--above ninety degrees sometimes--and dry. No precipitation. Windy, but not at night. Relative humidities down into the mid single digits during the day and upper teens at night. Dew points steer way clear of temps. I've placed some rocks along the north side of areas I like to see heat up earlier in spring to good effect, but I can't see getting much moisture from rock piles when it's needed most.